Overview
- Deals with Schur Analysis in the quaternionic setting
- Contains several new results which cannot be found anywhere else in the literature
- Defines and studies the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting
Part of the book series: Operator Theory: Advances and Applications (OT, volume 256)
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Table of contents (11 chapters)
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Front Matter
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Classical Schur Analysis
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Front Matter
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Quaternionic Analysis
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Front Matter
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Back Matter
Keywords
About this book
This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
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Authors and Affiliations
Bibliographic Information
Book Title: Slice Hyperholomorphic Schur Analysis
Authors: Daniel Alpay, Fabrizio Colombo, Irene Sabadini
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-319-42514-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-42513-9Published: 16 December 2016
Softcover ISBN: 978-3-319-82597-7Published: 04 July 2018
eBook ISBN: 978-3-319-42514-6Published: 09 December 2016
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XII, 362
Topics: Functions of a Complex Variable, Functional Analysis, Operator Theory